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Finding the Fourth Proportional to 46,978.14, 64,830.47 and 25,757.36

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Solution

The fourth proportional to 46,978.14, 64,830.47 and 25,757.36 is: 35,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.14 : 64,830.47 = 25,757.36 : x
  2. Step 2: Convert to fraction form
    46,978.14/64,830.47 = 25,757.36/x
  3. Step 3: Cross multiply
    46,978.14x = 64,830.47 × 25,757.36
  4. Step 4: Simplify right side
    46,978.14x = 1,669,861,754.76
  5. Step 5: Solve for x
    x = 1,669,861,754.76/46,978.14
  6. Step 6: Final answer
    x = 35,545.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.